
Concept explainers
To calculate:The equation that depicts the frequency of a given vibrating string which is under constant tension

Answer to Problem 136RE
The string must be shortened to
Explanation of Solution
Given information:
Here, the frequency of a given vibrating string which is under constant tension
Also, violin string is
New frequency is
Formula used:
For 2 variables say,
Which can be written as:
Where
Similarly the statement
Which can be written as:
Where
Calculation:
As the frequency of a given vibrating string which is under constant tension
Recall, For 2 variables say,
Which can be written as:
Where
Hence, this variation can be expressed as follows:
Where
It is also given
Put these values in
Therefore, the proportionality constant
Now for new frequency of vibrating string
Replace the value of
Thus, the string must be shortened to
Chapter 1 Solutions
EBK PRECALCULUS: MATHEMATICS FOR CALCUL
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